# import pypyjit;pypyjit.set_param("max_unroll_recursion=-1")
import sys

# from bisect import *
# from collections import *
# from decimal import *  # PyPyだと遅い
# from heapq import *
# from itertools import *
# from math import gcd, lcm
# from random import *
# from string import *

# from atcoder.dsu import *
# from atcoder.segtree import *
# from more_itertools import *
# from sortedcontainers import *

# sys.setrecursionlimit(10**7)  # PyPyは呪文を付ける
# sys.set_int_max_str_digits(0)
INF = 1 << 61
MOD = 998244353
# MOD = 10**9 + 7
IS_DEBUG = "LOCAL_DEBUG" in sys.argv
File = sys.stdin


def debug(*args, **kwargs):
    if IS_DEBUG:
        print(*args, **kwargs)


def input():
    return File.readline().replace("\n", "")


# ///////////////////////////////////////////////////////////////////////////


A, B, C = map(int, input().split())
print(min(B, A * C))